Answer:78 guests
Step-by-step explanation:
understanding the problem
the furniture is set up for the reunion and we need to determine how many guests are expected
devising a plan
the furniture for guests = chairs
steps
determine the number of tables as there are 6 chairs to each table
what is the unknown?
number of tables and number of chairs
what are the data?
364 furniture legs
tables sit 6 chairs each
tables have 4 legs
each chair has 4 legs
which letter should determine the unknown?
a= tables
b= chairs
what is the condition linking the letters
a*6=b
(a+b)*4=364
is the condition sufficient to determining the unknown?
364/4= a+b
91= a + b
a * 6 = b
b/6 = a
91- b = a
91 = (91-b) + a
(91-b) * 6 = b
b/6=91-b
b= 6*91 - 6b
b = 546 - 6b
b + 6b = 546
7b = 546
b = 546 / 7
answer
b = 78 guests = chairs
test
a*6 = 78
a= 78/6 = 13 tables
(a + 78) * 4 = 364
(13+78)*4 = 364
91*4= 364 correct
364/4= a+ 78
91 = a + 78
91 - 78 = a = 13 tables
